Over the past fifteen years, motivated by regularity problems in evolution equations, there
has been tremendous progress in the analysis of Banach space-valued functions and …

DH Fremlin 2003 The right of DH Fremlin to be identified as author of this work has been
asserted in accordance with the Copyright, Designs and Patents Act 1988. This work is …

Title: Morrey spaces: introduction and applications to integral operators and PDE's/Yoshihiro
Sawano, Giuseppe Di Fazio, Denny Ivanal Hakim. Description: First edition.| Boca Raton …

In this paper we discuss and prove an analogy of the Carleson–Hunt theorem with respect to
Vilenkin systems. In particular, we use the theory of martingales and give a new and shorter …

" There are many bits and pieces of folklore in mathematics that are passed down from
advisor to student, or from collaborator to collaborator, but which are too fuzzy and non …

The problem of studying the largest rearrangement invariant space of functions with almost
everywhere convergent Fourier series is considered. A quasi-Banach space QA of functions …

We strengthen the Carleson–Hunt theorem by proving Lp estimates for the r-variation of the
partial sum operators for Fourier series and integrals, for r> max {p, 2}. Four appendices are …

A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume
set that can serve as a graduate-level analysis textbook with a lot of additional bonus …

Let σ and w be locally finite positive Borel measures on R which do not share a common
point mass. Assume that the pair of weights satisfy a Poisson A 2 condition, and satisfy the …

The theory of Carleson measures, stop** time arguments, and atomic decompositions has
been well-established in harmonic analysis. More recent is the theory of phase space …